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In this paper we show that a 1-D phononic crystal (laminate) can exhibitmetamaterial wave phenomenon which is traditionally associated with 2-, and 3-Dcrystals. Moreover, due to the absence of a length scale in 2 of itsdimensions, it can outperform higher dimensional crystals on some measures.This includes allowing only negative refraction over large frequency ranges andserving as a near-omnidirectional high-pass filter up to a large frequencyvalue. First we provide a theoretical discussion on the salient characteristicsof the dispersion relation of a laminate and formulate the solution of aninterface problem by the application of the normal mode decompositiontechnique. We present a methodology with which to induce a pure negativerefraction in the laminate. As a corollary to our approach of negativerefraction, we show how the laminate can be used to steer beams over largeangles for small changes in the incident angles (beam steering). Furthermore,we clarify how the transmitted modes in the laminate can be switched on and offby varying the angle of the incident wave by a small amount. Finally, we showthat the laminate can be used as a remarkably efficient high-pass frequencyfilter. An appropriately designed laminate will reflect all plane waves fromquasi-static to a large frequency, incident at it from all angles except for asmall set of near-normal incidences. This will be true even if the homogeneousmedium is impedance matched with the laminate. Due to the similarities betweenSH waves and EM waves it is expected that some or all of these results may alsoapply to EM waves in a layered periodic dielectric.

Negative Refraction, Beam Steering, Mode Switching, and High-pass Filtering in a 1-D Periodic Laminate